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Finding the Fourth Proportional to 26,269, 39,382.60 and 13,114.24

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Solution

The fourth proportional to 26,269, 39,382.60 and 13,114.24 is: 19,660.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,269 : 39,382.60 = 13,114.24 : x
  2. Step 2: Convert to fraction form
    26,269/39,382.60 = 13,114.24/x
  3. Step 3: Cross multiply
    26,269x = 39,382.60 × 13,114.24
  4. Step 4: Simplify right side
    26,269x = 516,472,868.22
  5. Step 5: Solve for x
    x = 516,472,868.22/26,269
  6. Step 6: Final answer
    x = 19,660.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.